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musickatia [10]
3 years ago
5

The Perimeter of a rectangle is 304 cm. The length is 40 cm longer than the width. Find the length and width.

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0

Step-by-step explanation:

Perimeter = 2(length) + 2(width)

let x represent the width

304 = 2x + 2(x + 40)

304 = 4x + 80

224 = 4x

x = 56

this means that the width is 56cm

sub this into the length:

length = 56 + 40

= 96cm

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Triangle ABC has the following angle measurements
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  1. Lena's Method: 280
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Lena's Method:

  1. 8 + 12 = 20
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Jackson's Method:

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It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?
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A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
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Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

\mu = 400, \sigma = 30.

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{420 - 400}{30}

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1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

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